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Finding the Fourth Proportional to 5,000, 6,898.32 and 2,903.36

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Solution

The fourth proportional to 5,000, 6,898.32 and 2,903.36 is: 4,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000 : 6,898.32 = 2,903.36 : x
  2. Step 2: Convert to fraction form
    5,000/6,898.32 = 2,903.36/x
  3. Step 3: Cross multiply
    5,000x = 6,898.32 × 2,903.36
  4. Step 4: Simplify right side
    5,000x = 20,028,306.36
  5. Step 5: Solve for x
    x = 20,028,306.36/5,000
  6. Step 6: Final answer
    x = 4,005.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.